Vladislav I. Zhukovskii, Juliya N. Zhiteneva, Juliya A. Belskikh, “Pareto equilibrium of objections and counterobjections in a differential game of three persons”, Mat. Teor. Igr Pril., 2019, Volume 11, Issue 1,Pages <nobr>39

This article is cited in 3 papers

Pareto equilibrium of objections and counterobjections in a differential game of three persons

Vladislav I. Zhukovskii^a, Juliya N. Zhiteneva^b, Juliya A. Belskikh^b

^a Moscow State University
^b State Humanity-Technology University

Abstract: The linear-quadratic positional differential game of three persons is considered. The coefficient criteria are established, here when they are realized there is no Nash equilibrium situation in the game and at the same time there is an equilibrium of objections and counterobjections.

Keywords: noncooperative games; Nash equilibrium; active equilibrium; equilibrium of objections and counterobjections.

UDC: 519.833.2:519.837
BBK: 91.A.10:91.A.23

Received: 06.02.2019
Revised: 09.03.2019
Accepted: 20.03.2019